Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)°. What is the measure of ∠ACB?(1 point)
m∠ACB=
°
Since the angles are supplementary, the sum of their measures should be 180 degrees. So we can set up the equation:
4x + (6x + 50) = 180
Combine like terms:
10x + 50 = 180
Subtract 50 from both sides:
10x = 130
Divide by 10:
x = 13
Now we can find the measure of angle ACB:
4x = 4 * 13 = 52
Thus, the measure of angle ACB is 52 degrees.